Question

What is the difference between inverse trigonometric functions and inverse circuluar functions ?
[Please give a proper answer with 2 or 3 Lines]
This topic is in class 12 maths

Answer 1

Answer:

We denote the as inverse trigonometric function as y=sin−1(x) . It is read y is the inverse of sine x and means y is the real number angle whose sine value is x .

Graphs of Inverse Trigonometric Functions.

Function Domain Range

tan−1(x) (−∞,∞) (−π2,π2)

cot−1(x) (−∞,∞) (0,π)

sec−1(x) (−∞,−1]∪[1,∞) [0,π2)∪(π2,π]

Inverse of circular ratios exists. We know that y = sin x means y is the value of sine of angle x if we consider domain and co-domain both as set R of a real numbers. ... Y = sin x is one-one onto and hence it is invertible.

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